* Dollar gives up gains vs most major currencies
* Euro rebounds, eyes on EU recovery fund talks
* Sterling withers as UK GDP disappoints
* Graphic: World FX rates in 2019 http://tmsnrt.rs/2egbfVh (Adds details, new quotes, latest prices)
LONDON, July 14 - The U.S. dollar gave up early gains on Tuesday with currency traders unfazed by diplomatic tensions between the United States and China and rising coronavirus cases.
While stock markets initially fell as investors turned cautious, the safe-haven yen and the Swiss franc were both down on the day by 1105 GMT as market sentiment improved.
A resurgence of novel coronavirus infections has caused some areas to place new restrictions on business activity, injecting some caution into the multi-month stock market rally that is betting on a rapid economic recovery.
Markets now face an additional threat from tit-for-tat retaliation between Washington and Beijing over access to U.S. financial markets, civil liberties in Hong Kong and territorial claims in the South China Sea.
ING analysts said that while the nervousness was supporting the dollar, progress in the European Union's efforts to agree a recovery fund package this week would boost the euro.
Against a basket of currencies the dollar index was last down 0.1% at 96.452, keeping it firmly with a tight range it has traded in since May.
The euro recovered and rose 0.2% against the dollar to $1.1369.
The single currency's rise came despite a widely-watched indicator showing investor sentiment in the euro zone's biggest economy, Germany, worsened somewhat in July.
Traders are now waiting for U.S. inflation numbers for June due at 1230 GMT.
Scotiabank analysts said in a research note that currencies were now less correlated with equity market trends, which could mean they return to being driven by macroeconomic developments.
"If so, we think that this should support further gains in the euro and related currencies given that Europe appears to have managed and contained the COVID-19 outbreak more effectively than the US, for example, implying better economic prospects and more attractive investment returns," they said.
Currencies heavily exposed to global trade sentiment rebounded as the day wore on. The Australian dollar rose 0.3% to $0.6957, although China's offshore yuan slipped slightly to 7.0184 yuan per dollar.
The yuan was little moved by data showing Chinese imports in June rose for the first time since the coronavirus panic paralysed the economy, as investors focused on tensions with Washington.
The Japanese yen dipped, with the dollar up 0.1% at 107.41 yen.
The British pound fell after the economy rebounded in May at a much slower-than-expected pace, calling into question forecasts for a V-shaped recovery. Sterling was last down 0.3% at $1.2520 and 0.5% against the euro at 90.79 pence .
(Editing by Mark Potter, William Maclean)
